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Finding the Third Proportional to 4,017.38 and 5,069.25

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Solution

The third proportional to 4,017.38 and 5,069.25 is: 6,396.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,017.38 : 5,069.25 = 5,069.25 : x
  2. Step 2: Convert to fraction form
    4,017.38/5,069.25 = 5,069.25/x
  3. Step 3: Cross multiply
    4,017.38x = 5,069.25 × 5,069.25
  4. Step 4: Simplify right side
    4,017.38x = 25,697,295.56
  5. Step 5: Solve for x
    x = 25,697,295.56/4,017.38
  6. Step 6: Final answer
    x = 6,396.54

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.